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234010144104 = 2331110915751797
BaseRepresentation
bin1101100111110000010…
…1110110110101101000
3211101000120101000102020
43121330011312311220
512313223044102404
6255300333304440
722622663256042
oct3317405666550
9741016330366
10234010144104
1190274697910
1239429635120
13190b4447cb9
14b47cd60a92
156149178ed9
hex367c176d68

234010144104 has 128 divisors (see below), whose sum is σ = 648179452800. Its totient is φ = 69812720640.

The previous prime is 234010144099. The next prime is 234010144177. The reversal of 234010144104 is 401441010432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4491934 + ... + 4543730.

It is an arithmetic number, because the mean of its divisors is an integer number (5063901975).

Almost surely, 2234010144104 is an apocalyptic number.

234010144104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234010144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324089726400).

234010144104 is an abundant number, since it is smaller than the sum of its proper divisors (414169308696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234010144104 is a wasteful number, since it uses less digits than its factorization.

234010144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52083 (or 52079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 234010144104 its reverse (401441010432), we get a palindrome (635451154536).

The spelling of 234010144104 in words is "two hundred thirty-four billion, ten million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 157 218 264 314 327 436 471 628 654 872 942 1199 1256 1308 1727 1884 2398 2616 3454 3597 3768 4796 5181 6908 7194 9592 10362 13816 14388 17113 20724 28776 34226 41448 51339 51797 68452 102678 103594 136904 155391 188243 205356 207188 310782 376486 410712 414376 564729 569767 621564 752972 1129458 1139534 1243128 1505944 1709301 2258916 2279068 3418602 4517832 4558136 5645873 6837204 8132129 11291746 13674408 16264258 16937619 22583492 24396387 32528516 33875238 45166984 48792774 62104603 65057032 67750476 89453419 97585548 124209206 135500952 178906838 186313809 195171096 248418412 268360257 357813676 372627618 496836824 536720514 715627352 745255236 886402061 1073441028 1490510472 1772804122 2146882056 2659206183 3545608244 5318412366 7091216488 9750422671 10636824732 19500845342 21273649464 29251268013 39001690684 58502536026 78003381368 117005072052 234010144104